Question

Graph the image of this figure after a dilation with a scale factor of 12 centered at the point (2, 2) . Use the polygon tool to graph the dilated figure.

Answer 1

shown in the picture down below

Explanation:

I hope this helps you and people in the future

Answer 2

Labelled the given figure triangle as A, B and C.

In triangle ABC;

The coordinates of ABC are:

A = (0, 4)

B = (-2, 10) and

C = (-6, 8)

To find the image of this figure after a dilation with a scale factor of
`(1)/(2)` centered at the point O=(2, 2).

The rule of dilation with scale factor
`(1)/(2)` centered at the point (2, 2) is given by;

`(x, y) \rightarrow ((1)/(2)(x-2) +2 , (1)/(2)(y-2) +2)`

or

`(x, y) \rightarrow ((1)/(2)x+1 , (1)/(2)y+1)`

The coordinate of the image of the figure after dilation are;

`A(0, 4) \rightarrow A'((1)/(2)(0)+1 , (1)/(2)(4)+1)` = A'(1, 3)

`B(-2, 10) \rightarrow B'((1)/(2)(-2)+1 , (1)/(2)(10)+1)` = B'(0, 6)

`C(-6, 8) \rightarrow C'((1)/(2)(-6)+1 , (1)/(2)(8)+1)` = C'(-2, 5)

You can see the graph as shown below in the attachment: